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lim( x to 0)[(1+3x)^(1//x)]=k, then for ...

`lim_( x to 0)[(1+3x)^(1//x)]=k`, then for continuity at x=0, k is

A

3

B

`-3`

C

`e^(3)`

D

`e^(-3)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given `underset(x to 0)(lim)(1+3x)^(1//x)=k`
`therefore e^(3)=k`
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